## Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decid

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. If the test predicts that there is no oil, what is the probability after the test that the land has oil?

## Answers ( No )

The options are

A.

0.1698

B.

0.2217

C.

0.5532

D.

0.7660

Answer: The probability after the test that the land has oil is 0.09.Explanation:Let A is the event that the land has oil.

It is given that there is a 45% chance that the land has oil. So,

The probability that the land has no oil is,

Let B is the event that the kit gives the accurate rate of indicating oil in the soil. So,

The probability that the kit gives the false result is,

Events A and B are two independent events and we have to find the probability that the last has oil and kit given false result.

Therefore, the i

f the test predicts that there is no oil, then the probability after the test that the land has oil is 0.09.